Results 1 to 10 of about 5,021,065 (259)
The Maximal Ideal Space of C(K, A)
Journal of Mathematical Extension, 2007 Let C(K, A) denote the space of all continuous Avalued functions on the compact Hausdorff space K, where A is a commutative Banach algebra. In this paper we show that the maximal ideal space of C(K, A) can be identified with K × M, where M denotes ...
M. H. Shirdarreh Haghighi
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Sequences in the Maximal Ideal Space of H ∞ [PDF]
Proceedings of the American Mathematical Society, 1990 This paper studies the behavior of sequences in the maximal ideal space of the algebra of bounded analytic functions on an arbitrary domain. The main result states that for any such sequence, either the sequence has an interpolating subsequence or infinitely many elements of the sequence lie in the same Gleason part.
Sheldon Axler, Pamela Gorkin
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Maximal elements in the maximal ideal space of a measure algebra
Mathematische Annalen, 1980 Let ~ ' be a semi-simple commutative convolution measure algebra as described by Taylor [9]. The maximal ideal space A of ~ ' is representable as the semigroup of continuous semicharacters on a compact semigroup the structure semigroup of J/g. Using this description of A, Taylor has shown that the strong boundary points he A of ~ ' must have idempotent
Brown, Gavin, Moran, William
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Decompositions of the Maximal Ideal Space of L ∞ [PDF]
Transactions of the American Mathematical Society, 1984 In this paper we show the existence of one point maximal antisymmetric sets for H
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The maximal ideal space of a noetherian ring
Journal of Pure and Applied Algebra, 1976 Roger Wiegand, Sylvia Wiegand
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C(X) determines X - an inherent theory
Applied General Topology, 2023 One of the fundamental problem in rings of continuous function is to extract those spaces for which C(X) determines X, that is to investigate X and Y such that C(X) isomorphic with C(Y ) implies X homeomorphic with Y.
Biswajit Mitra, Sanjib Das
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Closed ideals in the functionally countable subalgebra of C(X)
Applied General Topology, 2022 In this paper, closed ideals in Cc(X), the functionally countable subalgebra of C(X), with the mc-topology, is studied. We show that if X is CUC-space, then C*c(X) with the uniform norm-topology is a Banach algebra.
Amir Veisi
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On e-spaces and rings of real valued e-continuous functions
Applied General Topology, 2023 Whenever the closure of an open set is also open, it is called e-open and if a space have a base consisting of e-open sets, it is called e-space. In this paper we first introduce and study e-spaces and e-continuous functions (we call a function f from a ...
Susan Afrooz +2 more
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Semi generalization of δI*-closed sets in ideal topological space
Ratio Mathematica, 2022 In this paper we introduce the notion of semi generalized dI*-closed sets or gsdI*-closed sets using semi open sets and investigate its basic properties and characterizations in an ideal topological space.
K Palani, M Karthigai Jothi
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Intermediate rings of complex-valued continuous functions
Applied General Topology, 2021 For a completely regular Hausdorff topological space X, let C(X, C) be the ring of complex-valued continuous functions on X, let C ∗ (X, C) be its subring of bounded functions, and let Σ(X, C) denote the collection of all the rings that lie between C ...
Amrita Acharyya +3 more
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